394920 has 48 divisors (see below), whose sum is σ = 1284660. Its totient is φ = 105216.

The previous prime is 394897. The next prime is 394931. The reversal of 394920 is 29493.

It can be written as a sum of positive squares in 2 ways, for example, as 381924 + 12996 = 618^2 + 114^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

394920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189 + ... + 908.

2³⁹⁴⁹²⁰ is an apocalyptic number.

394920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642330).

394920 is an abundant number, since it is smaller than the sum of its proper divisors (889740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

394920 is a wasteful number, since it uses less digits than its factorization.

394920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 394920 is about 628.4266066933. The cubic root of 394920 is about 73.3673854711.

It can be divided in two parts, 3949 and 20, that added together give a square (3969 = 63²).

The spelling of 394920 in words is "three hundred ninety-four thousand, nine hundred twenty".